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A080870 a(n+1) is smallest number with a(n+1)^n > (a(n)+1)^(n+1), with a(1)=1. 2


%S 1,5,15,41,107,276,708,1811,4629,11827,30214,77182,197159,503632,

%T 1286495,3286264,8394533,21443246,54775263,139919550,357414628,

%U 912990471,2332169791,5957363305,15217664544,38872451165,99296935817

%N a(n+1) is smallest number with a(n+1)^n > (a(n)+1)^(n+1), with a(1)=1.

%C Also a(n+1) = floor( (a(n)+1)^(1+1/n) ) + 1; compare A080869.

%F a(n) = floor(x^n)-1, where x=2.554429495392724...

%e Given a(4)=41, then a(5)=107 because 107^4 > (41+1)^5.

%Y Cf. A059923, A080869.

%K nonn

%O 1,2

%A _Paul D. Hanna_, Feb 21 2003

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Last modified January 22 22:16 EST 2020. Contains 331166 sequences. (Running on oeis4.)